这是最近整理的关于 copula - CoVaR 的程序, 有兴趣在这个领域交流的,可以加好友。
参考论文:
Federal Reserve Bank of New YorkStaff Reports
CoVaR
Tobias AdrianMarkus K. Brunnermeier
Staff Report No. 348September 2008Revised September 2014
程序代码:
- # CoVaR value evaluting at quantile CoVaR and quantile VaR.
- # Description
- #Calculate the conditional quantile or CoVaR with different type of Copula and marginal distribution. In this package several bivariate copula families are included for bivariate analysis.
- #It provides functionality of elliptical (Gaussian and Student t) as well as Archimedean (Clayton, Gumbel, Frank, Plackett, BB1, SCJ, rotated clayton and rotated Gumbel) copulas to cover a large bandwidth of possible dependence structures.
- # Author
- #Andrea Ugolini <andreaugolini@me.com> \\
- #Juan Carlos Reboredo Noguiera <juancarlos.reboredo@usc.es>
-
- # References
- # Reboredo, J. C., & Ugolini, A. (2016).
- #Quantile dependence of oil price movements and stock returns. Energy Economics, 54, 33-49.
- # Section: Example --------------------------------------------------------
- rm(list=ls())
- graphics.off()
- setwd(dirname(rstudioapi::getActiveDocumentContext()$path))
- # Example
- #### RCoVaRCopula
- load("Data_demo.Rdata")
- source("CoVaR.R")
- source("DynCopulaCoVaR.R")
- source("DynCopulaCoVaRUpper.R")
- source("skewtdis_inv.R")
- require("pracma")
- require("copula")
- #### CoVaR Downside
- CoVaR1part = CoVaR(0.05,0.05,par=par1_1,par2=par2_1,dof=tailBrazil,gamma=asyBrazil,cond.mean=meanBrasil1,
- cond.sigma=sigmaBrasil1,dist="tskew",type="Student")
- CoVaR2part = CoVaR(0.05,0.05,par=par1_2,par2=par2_2,dof=tailBrazil,gamma=asyBrazil,cond.mean=meanBrasil2,
- cond.sigma=sigmaBrasil2,dist="tskew",type="Student")
- #### CoVaR Upside
- CoVaR1partUp = CoVaR(0.95,0.95,par=par1_1,par2=par2_1,dof=tailBrazil,gamma=asyBrazil,cond.mean=meanBrasil1,
- cond.sigma=sigmaBrasil1,dist="tskew",type="StudentUp")
- CoVaR2partUp = CoVaR(0.95,0.95,par=par1_2,par2=par2_2,dof=tailBrazil,gamma=asyBrazil,cond.mean=meanBrasil2,
- cond.sigma=sigmaBrasil2,dist="tskew",type="StudentUp")
- CoVaR1D = CoVaR1part$CoVaR
- CoVaR2D = CoVaR2part$CoVaR
- CoVaR1U = CoVaR1partUp$CoVaR
- CoVaR2U = CoVaR2partUp$CoVaR
- TimeCoVaRD = rbind(CoVaR1D,CoVaR2D)
- TimeCoVaRU = rbind(CoVaR1U,CoVaR2U)
- #### Plot
- plot(as.matrix(TimeCoVaRD),type="l",col="blue",
- ylim=c(-0.5,0.5),xlab="Time",ylab="")
- lines(VaR,col="black",lty=2)
- lines(TimeCoVaRU,col="red",lty=4)
- lines(VaRup,col="green",lty=3)
- abline(h=0,col="gray33")
绘图:
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